Answer: 6 cm^2
Step-by-step explanation:
Answer:
-2 or 2.
Step-by-step explanation:
We have been given an equation
, which represents the total number of points that can be earned or lost during one turn of a game.
Since absolute value of a number is the distance between the number and the origin. Absolute value of a number determines how far a number is from zero (origin) on the number line.
Using definition of absolute value function we will get,

Therefore, -2 or 2 describes the number of points that can be earned or lost during one turn.
Tax is 5% of the original price. So if i multiply by 20 i can easily find the original 100%.
20 x $43 = $860
You can check if by doing 860 x 0.05 = $43
This question is incomplete, the complete question is;
Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.
Find the indicated probability. P(67 < x < 72)
(Round to four decimal places as needed.)
Answer:
the indicated is 0.0222
Step-by-step explanation:
Given the data in the question;
mean μ = 80
standard deviation σ = 4
p ⇒ P ( x -μ / σ )
so
P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ / σ ) < P( 72-80 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ / σ ) < P( -8 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 < z < -8 / 4 )
P(67 < x < 72) ⇒ P( -3.25 < z < -2 )
⇒ P( z < -2 ) - P( z < -3.25)
Now from z table;
⇒ 0.02275 - 0.00058
P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222 { four decimal places }
Therefore, the indicated is 0.0222
The domain is {15,21,18,16} but the range would be {62,65,70,73} because nothing repeats.